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math.DS2025
More general contractions in perturbed metric spaces
Maria Nutu, Cristina Maria Pacurar
In the present paper, we introduce two new types of contractive mappings in perturbed metric spaces, namely -perturbed mappings and perturbed Kannan mappings. We prove a fixed p…
math.DS2021
A countable fractal interpolation scheme involving Rakotch contractions
Cristina Maria Pacurar
The main result of this paper states that for a given countable system of data, there exists a countable iterated function system consisting of Rakotch contractions, such that its…